Book picks similar to
Philosophy of Mathematics: Selected Readings by Paul Benacerraf
philosophy
mathematics
math
philosophy-of-mathematics
Deep Learning
Ian Goodfellow - 2016
Because the computer gathers knowledge from experience, there is no need for a human computer operator to formally specify all the knowledge that the computer needs. The hierarchy of concepts allows the computer to learn complicated concepts by building them out of simpler ones; a graph of these hierarchies would be many layers deep. This book introduces a broad range of topics in deep learning.The text offers mathematical and conceptual background, covering relevant concepts in linear algebra, probability theory and information theory, numerical computation, and machine learning. It describes deep learning techniques used by practitioners in industry, including deep feedforward networks, regularization, optimization algorithms, convolutional networks, sequence modeling, and practical methodology; and it surveys such applications as natural language processing, speech recognition, computer vision, online recommendation systems, bioinformatics, and videogames. Finally, the book offers research perspectives, covering such theoretical topics as linear factor models, autoencoders, representation learning, structured probabilistic models, Monte Carlo methods, the partition function, approximate inference, and deep generative models.Deep Learning can be used by undergraduate or graduate students planning careers in either industry or research, and by software engineers who want to begin using deep learning in their products or platforms. A website offers supplementary material for both readers and instructors.
Introduction to Algorithms
Thomas H. Cormen - 1989
Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor.
Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks
Arthur T. Benjamin - 1993
Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.Also available as an eBook
What Is This Thing Called Science?
Alan F. Chalmers - 1976
Of particular importance is the examination of Bayesianism and the new experimentalism, as well as new chapters on the nature of scientific laws and recent trends in the realism versus anti-realism debate."Crisp, lucid and studded with telling examples… As a handy guide to recent alarums and excursions (in the philosophy of science) I find this book vigorous, gallant and useful."New Scientist
Number Freak: From 1 to 200- The Hidden Language of Numbers Revealed
Derrick Niederman - 2009
Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively
An Introduction to Statistical Learning: With Applications in R
Gareth James - 2013
This book presents some of the most important modeling and prediction techniques, along with relevant applications. Topics include linear regression, classification, resampling methods, shrinkage approaches, tree- based methods, support vector machines, clustering, and more. Color graphics and real-world examples are used to illustrate the methods presented. Since the goal of this textbook is to facilitate the use of these statistical learning techniques by practitioners in science, industry, and other fields, each chapter contains a tutorial on implementing the analyses and methods presented in R, an extremely popular open source statistical software platform. Two of the authors co-wrote The Elements of Statistical Learning (Hastie, Tibshirani and Friedman, 2nd edition 2009), a popular reference book for statistics and machine learning researchers. An Introduction to Statistical Learning covers many of the same topics, but at a level accessible to a much broader audience. This book is targeted at statisticians and non-statisticians alike who wish to use cutting-edge statistical learning techniques to analyze their data. The text assumes only a previous course in linear regression and no knowledge of matrix algebra.
Three Rival Versions of Moral Inquiry: Encyclopedia, Genealogy, and Tradition
Alasdair MacIntyre - 1990
The outlook of that earlier world, MacIntyre claims, was definitively articulated in the Ninth Edition of the Encyclopaedia Brittanica, which conceived of moral enquiry as both providing insight into and continuing the rational progress of mankind into ever greater enlightenment. MacIntyre compares that conception of moral enquiry to two rival conceptions also formulated in the late nineteenth century: that of Nietzsche's Zur Genealogie der Moral and that expressed in the encyclical letter of Pope Leo XIII Aeterni Patris. The lectures focus on Aquinas's integration of Augustinian and Aristotelian modes of enquiry, the inability of the encyclopaedists' standpoint to withstand Thomistic or genealogical criticism, and the problems confronting the contemporary post-Nietzschean genealogist. MacIntyre concludes by considering the implications for education in universities and colleges. Alasdair MacIntyre is research professor of philosophy at the University of Notre Dame. He is the author of numerous books, including After Virtue, A Short History of Ethics, and Whose Justice? Which Rationality?, all published by the University of Notre Dame Press.
The Simpsons and Their Mathematical Secrets
Simon Singh - 2013
That they exist, Simon Singh reveals, underscores the brilliance of the shows' writers, many of whom have advanced degrees in mathematics in addition to their unparalleled sense of humor. While recounting memorable episodes such as “Bart the Genius” and “Homer3,” Singh weaves in mathematical stories that explore everything from p to Mersenne primes, Euler's equation to the unsolved riddle of P v. NP; from perfect numbers to narcissistic numbers, infinity to even bigger infinities, and much more. Along the way, Singh meets members of The Simpsons' brilliant writing team-among them David X. Cohen, Al Jean, Jeff Westbrook, and Mike Reiss-whose love of arcane mathematics becomes clear as they reveal the stories behind the episodes. With wit and clarity, displaying a true fan's zeal, and replete with images from the shows, photographs of the writers, and diagrams and proofs, The Simpsons and Their Mathematical Secrets offers an entirely new insight into the most successful show in television history.
Thinking In Numbers: On Life, Love, Meaning, and Math
Daniel Tammet - 2012
In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.
The Tyranny of Merit: What’s Become of the Common Good?
Michael J. Sandel - 2020
We live in an age of winners and losers, where the odds are stacked in favour of the already fortunate. Stalled social mobility and entrenched inequality give the lie to the promise that "you can make it if you try". And the consequence is a brew of anger and frustration that has fuelled populist protest, with the triumph of Brexit and election of Donald Trump.Michael J. Sandel argues that to overcome the polarized politics of our time, we must rethink the attitudes toward success and failure that have accompanied globalisation and rising inequality. Sandel highlights the hubris a meritocracy generates among the winners and the harsh judgement it imposes on those left behind. He offers an alternative way of thinking about success - more attentive to the role of luck in human affairs, more conducive to an ethic of humility, and more hospitable to a politics of the common good.
The Logic Book
Merrie Bergmann - 1980
Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.
Algebra - The Very Basics
Metin Bektas - 2014
This book picks you up at the very beginning and guides you through the foundations of algebra using lots of examples and no-nonsense explanations. Each chapter contains well-chosen exercises as well as all the solutions. No prior knowledge is required. Topics include: Exponents, Brackets, Linear Equations and Quadratic Equations. For a more detailed table of contents, use the "Look Inside" feature. From the author of "Great Formulas Explained" and "Physics! In Quantities and Examples".
The Visual Display of Quantitative Information
Edward R. Tufte - 1983
Theory and practice in the design of data graphics, 250 illustrations of the best (and a few of the worst) statistical graphics, with detailed analysis of how to display data for precise, effective, quick analysis. Design of the high-resolution displays, small multiples. Editing and improving graphics. The data-ink ratio. Time-series, relational graphics, data maps, multivariate designs. Detection of graphical deception: design variation vs. data variation. Sources of deception. Aesthetics and data graphical displays. This is the second edition of The Visual Display of Quantitative Information. Recently published, this new edition provides excellent color reproductions of the many graphics of William Playfair, adds color to other images, and includes all the changes and corrections accumulated during 17 printings of the first edition.